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Finding the Third Proportional to 218.50 and 516.75

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Solution

The third proportional to 218.50 and 516.75 is: 1,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.50 : 516.75 = 516.75 : x
  2. Step 2: Convert to fraction form
    218.50/516.75 = 516.75/x
  3. Step 3: Cross multiply
    218.50x = 516.75 × 516.75
  4. Step 4: Simplify right side
    218.50x = 267,030.56
  5. Step 5: Solve for x
    x = 267,030.56/218.50
  6. Step 6: Final answer
    x = 1,222.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.